77028872 has 36 divisors (see below), whose sum is σ = 150992205. Its totient is φ = 36838816.

The previous prime is 77028851. The next prime is 77028899. The reversal of 77028872 is 27882077.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 76983076 + 45796 = 8774^2 + 214^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6206.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 719843 + ... + 719949.

Almost surely, 2^77028872 is an apocalyptic number.

It is an amenable number.

77028872 is a deficient number, since it is larger than the sum of its proper divisors (73963333).

77028872 is a wasteful number, since it uses less digits than its factorization.

77028872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 77028872 is about 8776.6093680874. The cubic root of 77028872 is about 425.4852533526.

The spelling of 77028872 in words is "seventy-seven million, twenty-eight thousand, eight hundred seventy-two".